New Elementary Geometry: With Practical Applications ; a Shorter Course Upon the Basis of the Larger WorkR.S. Davis & Company, 1873 - 176 páginas |
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Página 9
... parallel lines , as A B , CD , the angles formed by A the intersecting or secant line take particular names , thus : - Interior Angles on the same E G B C D H F Side are those which lie within the parallels , and on the same side of the ...
... parallel lines , as A B , CD , the angles formed by A the intersecting or secant line take particular names , thus : - Interior Angles on the same E G B C D H F Side are those which lie within the parallels , and on the same side of the ...
Página 11
... parallel ; as the quadrilateral R S T U A Trapezium is a quadrilateral which has no two of its sides parallel ; as the quadrilateral V W X Y. D Α M C B H G E F K L R P N U T S Y 1X V W D 24. A Diagonal is a line joining the vertices of ...
... parallel ; as the quadrilateral R S T U A Trapezium is a quadrilateral which has no two of its sides parallel ; as the quadrilateral V W X Y. D Α M C B H G E F K L R P N U T S Y 1X V W D 24. A Diagonal is a line joining the vertices of ...
Página 12
... a straight line may be drawn through a given point parallel to another straight line . 4. That an angle may be described equal to any given angle . PROPOSITIONS . 28. A Theorem is something to be demonstrated 12 ELEMENTARY GEOMETRY .
... a straight line may be drawn through a given point parallel to another straight line . 4. That an angle may be described equal to any given angle . PROPOSITIONS . 28. A Theorem is something to be demonstrated 12 ELEMENTARY GEOMETRY .
Página 24
... parallel . Let the straight line EF intersect the two straight lines AB , CD , making the alternate angles BGH , CHG equal ; then the lines AB , C D will be parallel . Ι E G B A 0 K H F For , if the lines A B , C D 24 ELEMENTARY GEOMETRY .
... parallel . Let the straight line EF intersect the two straight lines AB , CD , making the alternate angles BGH , CHG equal ; then the lines AB , C D will be parallel . Ι E G B A 0 K H F For , if the lines A B , C D 24 ELEMENTARY GEOMETRY .
Página 25
... parallel , let them meet in some point K , and through O , the middle point of G H , draw the straight line IK , making IO equal to O K , and join HI . Then , the opposite angles K O G , IO H , formed by the intersection of the two ...
... parallel , let them meet in some point K , and through O , the middle point of G H , draw the straight line IK , making IO equal to O K , and join HI . Then , the opposite angles K O G , IO H , formed by the intersection of the two ...
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New Elementary Geometry with Practical Applications Benjamin Greenleaf Sin vista previa disponible - 2016 |
Términos y frases comunes
A B C D ABCD ABCDEF alti altitude altitude Theo angle A CD axis base multiplied bisect chord circumference circumscribed cone convex surface diagonal diameter divided Elementary Algebra ellipse entire surface equal Theo equivalent frustum greater GREENLEAF'S NEW MATHEMATICAL Greenleaf's New Series half the sum hence homologous homologous sides hypothenuse inches inscribed circle magnitudes MATHEMATICAL SERIES mean proportional measured by half number of sides parallelogram parallelopipedon Parker's Exercises perimeter perpendicular prism PROBLEM radii radius ratio rectangle rectangular regular polygon Required the area Required the volume rhombus right angles Theo rods Scholium School secant line side A B side B C similar slant hight solid sphere is equal spherical square described square feet THEOREM triangles A B C triangular triangular prism vertex zoid
Pasajes populares
Página 23 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Página 29 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 83 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing these angles proportional, are similar.
Página 85 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Página 61 - At a point in a given straight line to make an angle equal to a given angle.
Página 57 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
Página 62 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Página 117 - If two angles not in the same plane have their sides parallel and lying in the same direction, these angles will be equal, and their planes will be parallel. Let...
Página 100 - The circumferences of circles are to each other as their radii, and their areas are to each other as the squares of their radii. Let C denote the circumference of one of ^ the circles, R its radius OA, A its area; and let C...
Página 88 - Similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.